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Finding the Fourth Proportional to 403.08, 602.82 and 360

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Solution

The fourth proportional to 403.08, 602.82 and 360 is: 538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.08 : 602.82 = 360 : x
  2. Step 2: Convert to fraction form
    403.08/602.82 = 360/x
  3. Step 3: Cross multiply
    403.08x = 602.82 × 360
  4. Step 4: Simplify right side
    403.08x = 217,015.20
  5. Step 5: Solve for x
    x = 217,015.20/403.08
  6. Step 6: Final answer
    x = 538.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.